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Finding the Fourth Proportional to 109.54, 164.10 and 55.30

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Solution

The fourth proportional to 109.54, 164.10 and 55.30 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 164.10 = 55.30 : x
  2. Step 2: Convert to fraction form
    109.54/164.10 = 55.30/x
  3. Step 3: Cross multiply
    109.54x = 164.10 × 55.30
  4. Step 4: Simplify right side
    109.54x = 9,074.73
  5. Step 5: Solve for x
    x = 9,074.73/109.54
  6. Step 6: Final answer
    x = 82.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.